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135307222038 = 2333122607377
BaseRepresentation
bin111111000000011110…
…0000101110000010110
3110221020210102001121000
41332000330011300112
54204102122101123
6142054223204130
712530016260622
oct1760074056026
9427223361530
10135307222038
115242444364a
1222282146646
13c9b458c4c1
1467982a0182
1537bdc53b43
hex1f80f05c16

135307222038 has 48 divisors (see below), whose sum is σ = 310695162480. Its totient is φ = 43647474240.

The previous prime is 135307222013. The next prime is 135307222067. The reversal of 135307222038 is 830222703531.

135307222038 is a `hidden beast` number, since 1 + 3 + 530 + 72 + 2 + 20 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135307221993 and 135307222011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251795 + ... + 1355582.

It is an arithmetic number, because the mean of its divisors is an integer number (6472815885).

Almost surely, 2135307222038 is an apocalyptic number.

135307222038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135307222038 is an abundant number, since it is smaller than the sum of its proper divisors (175387940442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135307222038 is a wasteful number, since it uses less digits than its factorization.

135307222038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607450 (or 2607413 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 135307222038 its reverse (830222703531), we get a palindrome (965529925569).

The spelling of 135307222038 in words is "one hundred thirty-five billion, three hundred seven million, two hundred twenty-two thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 961 1674 1922 2883 5766 8649 17298 25947 51894 2607377 5214754 7822131 15644262 23466393 46932786 70399179 80828687 140798358 161657374 242486061 484972122 727458183 1454916366 2182374549 2505689297 4364749098 5011378594 7517067891 15034135782 22551203673 45102407346 67653611019 135307222038